How can I extract data from the following Matlab figure, there are multiple lines.

alpha = -0.1;
sigma = 0.1;
eps = -0.1;
e = 0.2;
M = 4;
a = 2;

psi_list = [10, 20, 30, 40, 50];
lambda = 0:0.2:4;
for i = 1:numel(psi_list)
    psi = psi_list(i);
    hbar = @(x) a - a.*x  + x;
    A1 = eps + alpha^3 + (3 * sigma^2 * alpha);
    B1 =@(x,lambda)  (-3 * lambda * M) * ((hbar(x).^2) + (2 .* hbar(x) .* alpha) + (sigma^2) + (alpha^2));
    a1 =@(x) tanh(M .* hbar(x));
    b1 =@(x) 1 - ((tanh(M .* hbar(x))).^2);
    c1 = (M * alpha) - ((M^3 * A1)/3);
    d1 = @(lambda) 2 * (M^2) * (1 + lambda);
    
    C1=@(x)  a1(x) + (b1(x) .* c1);
    D1 =@(x,lambda)  d1(lambda) .* ((hbar(x).^3) + (3 .* (hbar(x).^2) .* alpha) + (3 .* hbar(x) .* (alpha)^2) + (3 .* hbar(x) .* (sigma)^2) + eps + (3 * alpha * (sigma^2)) + (alpha^3));
    f1 =@(x,lambda) B1(x,lambda) + (3 * lambda .* C1(x) .* hbar(x)) + (3 * lambda .* C1(x) .* alpha) + (D1(x,lambda) .* C1(x));
    f2 =@(x,lambda)  12 * (M^2) * (1 + lambda) .* C1(x);
    f3 = psi * (e^3); 
    f4 = @(lambda) (1 + lambda) *180 * ((1 - e)^2);
    f5 =@(lambda)  1./(2 + lambda);
    F = @(x,lambda) ((f5(lambda) .* f1(x,lambda))./f2(x,lambda)) + (f3./f4(lambda));
    q1 =@(x,lambda)  hbar(x) ./ (2 .* F(x,lambda));
    Q1 =  @(lambda)integral(@(x)q1(x,lambda),0,1,'ArrayValued',true);    % integration with respect to "x" limit 0 to 1
    q2 = @(x,lambda) 1./(F(x,lambda));
    Q2 =  @(lambda)integral(@(x)q2(x,lambda),0,1,'ArrayValued',true);    % integration with respect to "x" limit 0 to 1
    Q = @(lambda) Q1(lambda)./Q2(lambda); % Q is a function of "lambda"

    A2 = eps + alpha^3 + (3 * sigma* alpha^2 );
    c2 = (M * alpha) - ((M^3 * A2)/3);
    C2=@(x)  a1(x) + (b1(x) .* c2);

    dP = @(x,lambda) ((0.5 .* hbar(x)) - Q(lambda)) ./ F(x,lambda);
    k1 = @(x,lambda) ((hbar(x) + alpha)./2) .* dP(x,lambda);
    k2 = @(lambda) M .* (1 + lambda) .* (2 + lambda);
    k3 = @(x,lambda) 4 * M .* hbar(x) .* (hbar(x) + alpha) .* (1 + lambda) + (lambda .* C2(x));
    fri = @(x, lambda) k1(x,lambda) + ((k2(lambda)) ./ k3(x,lambda));
    Fri =@(lambda) integral(@(x)fri(x,lambda),0,1,'ArrayValued',true);

    plot(lambda,Fri(lambda))
    hold on
end
legend(num2str(psi_list'))
ylim([0 1])
xlim([0 4])
set(gca, 'ytick', 0:0.1:1);
set(gca, 'xtick', 0:0.2:4);
xlabel('lambda')
ylabel('Fri(lambda)')

I have tried the following code but this is not working.

open('example.fig');
a = get(gca,'Children');
xdata = get(a, 'XData');
ydata = get(a, 'YData');

Answer 1

[dpb]

Already you have them in

plot(lambda,Fri(lambda))

if you'll just save

...
y(:,i)=Fri(lambda);
hL(i)=plot(lambda,y(:,i));

"x" is lambda and is fixed all elements.

With the above in the loop (preallocate 'y' before the loop for efficiency, of course), then you could move

    plot(lambda,Fri(lambda))
    hold on

out of the loop and instead

hL=plot(lambda,y);
...

using the vectorized operations of plot to treat each column of an array as a separate variable.

[AVINASH SAHU]

Thank you

Answer 2

[KSSV]

Already you have them in xdata and ydata.

They are cell arrays, you can access them by:

xdata{1}
xdata{2}
ydata{1} 
ydata{2}

[AVINASH SAHU]

yes Thank you

Answer 3

[Steven Lord]

One easy way to do this is to store the handles to the lines as you plot them. Before your loop preallocate an array to hold the handles:

psi_list = [10, 20, 30, 40, 50];
h = gobjects(size(psi_list));

Inside the loop, assign the output of plot into h(i). You may also want to set its DisplayName property, which would simplify your legend call to just legend show.

h(i) = plot(lambda,Fri(lambda), 'DisplayName', string(psi));
% later
legend show % Use the DisplayName properties of the lines

Then when you want to retrieve the data from one of the lines, for example line 2:

xx = h(2).XData;
yy = h(2).YData;